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Finding the Fourth Proportional to 674.30, 1,009.82 and 512.30

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Solution

The fourth proportional to 674.30, 1,009.82 and 512.30 is: 767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.30 : 1,009.82 = 512.30 : x
  2. Step 2: Convert to fraction form
    674.30/1,009.82 = 512.30/x
  3. Step 3: Cross multiply
    674.30x = 1,009.82 × 512.30
  4. Step 4: Simplify right side
    674.30x = 517,330.79
  5. Step 5: Solve for x
    x = 517,330.79/674.30
  6. Step 6: Final answer
    x = 767.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.